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Finding the Fourth Proportional to 691.16, 955.05 and 494.33

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Solution

The fourth proportional to 691.16, 955.05 and 494.33 is: 683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.16 : 955.05 = 494.33 : x
  2. Step 2: Convert to fraction form
    691.16/955.05 = 494.33/x
  3. Step 3: Cross multiply
    691.16x = 955.05 × 494.33
  4. Step 4: Simplify right side
    691.16x = 472,109.87
  5. Step 5: Solve for x
    x = 472,109.87/691.16
  6. Step 6: Final answer
    x = 683.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.